The Lockean Thesis and the Lottery Paradox have generated significant discussions within the context of classical logic. In this paper, we aim to provide a solution to this relationship by utilizing Fractional Semantics. The approach offered by Fractional Semantics is flexible enough to address the Lottery Paradox without using probability or non-classical logic. Instead, Fractional Semantics introduces a distinct type of semantics for Classical Logic, which proves to be an effective tool for resolving the paradox. Using Fractional Semantics to solve the Lottery Paradox offers several benefits. First and foremost, it maintains the conjunction between beliefs while still utilizing Classical Logic. Furthermore, it allows for a more nuanced approach to the problem, offering greater insight into the nature of truth and falsehood within a belief system. Our research demonstrates that Fractional Semantics provides a viable solution to the Lottery Paradox and highlights the value of considering different approaches to logical reasoning. By incorporating a more flexible and nuanced framework for understanding the nature of truth and belief, we can develop more effective strategies for addressing complex problems in the real world.

A solution to the Lottery Paradox through Fractional Semantics

Bizzarri, Matteo
2023

Abstract

The Lockean Thesis and the Lottery Paradox have generated significant discussions within the context of classical logic. In this paper, we aim to provide a solution to this relationship by utilizing Fractional Semantics. The approach offered by Fractional Semantics is flexible enough to address the Lottery Paradox without using probability or non-classical logic. Instead, Fractional Semantics introduces a distinct type of semantics for Classical Logic, which proves to be an effective tool for resolving the paradox. Using Fractional Semantics to solve the Lottery Paradox offers several benefits. First and foremost, it maintains the conjunction between beliefs while still utilizing Classical Logic. Furthermore, it allows for a more nuanced approach to the problem, offering greater insight into the nature of truth and falsehood within a belief system. Our research demonstrates that Fractional Semantics provides a viable solution to the Lottery Paradox and highlights the value of considering different approaches to logical reasoning. By incorporating a more flexible and nuanced framework for understanding the nature of truth and belief, we can develop more effective strategies for addressing complex problems in the real world.
2023
Settore PHIL-02/A - Logica e filosofia della scienza
Fifth Pisa Colloquium in Logic, Language and Epistemology
ETS
Classical propositional logic; proof theory and constructive mathematics; many-valued logics; logics of knowledge and belief; Lottery Paradox; Lockean Thesis; beliefs and probability
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/158185
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